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Finding the Fourth Proportional to 317,604,893,113.80, 476,407,339,670.70 and 317,604,893,113.80

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Solution

The fourth proportional to 317,604,893,113.80, 476,407,339,670.70 and 317,604,893,113.80 is: 476,407,339,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,604,893,113.80 : 476,407,339,670.70 = 317,604,893,113.80 : x
  2. Step 2: Convert to fraction form
    317,604,893,113.80/476,407,339,670.70 = 317,604,893,113.80/x
  3. Step 3: Cross multiply
    317,604,893,113.80x = 476,407,339,670.70 × 317,604,893,113.80
  4. Step 4: Simplify right side
    317,604,893,113.80x = 151,309,302,194,742,470,115,328
  5. Step 5: Solve for x
    x = 151,309,302,194,742,470,115,328/317,604,893,113.80
  6. Step 6: Final answer
    x = 476,407,339,670.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.